New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization

Abstract The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from research point view. Currently, mathematicians are working on extending, improving, and generalizing this inequality. This article presents conticrete Hermite-Hadamard-Jensen-Mercer type in weighted unweighted forms by using idea majorization convexity together with generalized conformable fractional integral operators. They not only represent continuous discrete compact form but also produce connecting various operators such Hadamard, Katugampola, Riemann-Liouville, conformable, Rieman integrals into single form. Also, two new identities have been investigated pertaining a differentiable function three tuples. By these assuming ∣ f ′ | f^{\prime} q ( > 1 ) {| }^{q}\hspace{0.33em}\left(q\gt 1) convex, we deduce bounds concerning discrepancy terms main inequalities.